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Finding the Third Proportional to 22,278 and 32,693

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Solution

The third proportional to 22,278 and 32,693 is: 47,977.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,278 : 32,693 = 32,693 : x
  2. Step 2: Convert to fraction form
    22,278/32,693 = 32,693/x
  3. Step 3: Cross multiply
    22,278x = 32,693 × 32,693
  4. Step 4: Simplify right side
    22,278x = 1,068,832,249
  5. Step 5: Solve for x
    x = 1,068,832,249/22,278
  6. Step 6: Final answer
    x = 47,977.03

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.